The Hadamard's Inequality for s-Convex Function

By Mohammad Wajeeh Alomari, Maslina Darus. 2008

276 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/6015f8f552735776765a8ebd0e044e993f90f7eb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces (2015, background): “Let s be a real number, s 2 (0; 1]: A function f : [0;1)! [0;1) is said to be s-convex (in the second sense) or Breckner s-convex if f (tx+ (1 t) y) tf (x) + (1 t) f (y) for all x; y 2 [0;1) and t 2 [0; 1] : For some properties of this class of functions see [1], [2], [7], [8], [26], [27], [39], [41”
Some new inequalities of Simpson’s type for s-convex functions via fractional integrals (2017, background): “In [3], Dragomir and Fitzpatrick proved a variant of Hermite-Hadamard’s inequality which holds for s-convex functions in the second sense.”
Co-ordinated s-Convex Function in the First Sense with Some Hadamard-Type Inequalities (2008, background): “For refinements, counterparts, generalizations and new Hadamard’s–type inequalities see [1–6].”
The Hermite-Hadamard's inequality for some convex functions via fractional integrals and related results (2011, background): “In [8], Hadamard’s inequality which for s−convex functions in the second sense is proved by S.”
NEW INEQUALITIES OF OSTROWSKI'S TYPE FOR S¡CONVEX FUNCTIONS IN THE SECOND SENSE WITH APPLICATIONS (2010, background): “In [6], Dragomir and Fitzpatrick proved a variant of Hadamard’s inequality which holds for s−convex functions in the second sense: Theorem 2.”
Hadamard-Type Inequalities for s-Convex Functions (2008, unknown): “Also, In [7], Dragomir and Fitzpatrick proved a variant of Hadamard’s inequality which holds for s–convex functions in the second sense.”
ON SOME HADAMARD-TYPE INEQUALITIES FOR h-CONVEX FUNCTIONS (2008, background): “[4] Suppose that f : [0,∞) → [0,∞) is an s -convex function in the second sense, where s ∈ (0, 1), and let a, b ∈ [0,∞), a < b.”
On some Hadamard-type inequalities for product of two s-convex functions on the co-ordinates (2012, background): “In [9], Dragomir and Fitzpatrick proved the following variant of Hadamard’s inequality which holds for  s convex function in the second sense:”
Generalization of different type integral inequalities for s-convex functions via fractional integrals (2013, background): “In [6], Dragomir and Fitzpatrick proved a variant of Hermite–Hadamard inequality which holds for the s-convex functions.”